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Finding the Fourth Proportional to 9,704.59, 14,559.96 and 3,464.46

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Solution

The fourth proportional to 9,704.59, 14,559.96 and 3,464.46 is: 5,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.59 : 14,559.96 = 3,464.46 : x
  2. Step 2: Convert to fraction form
    9,704.59/14,559.96 = 3,464.46/x
  3. Step 3: Cross multiply
    9,704.59x = 14,559.96 × 3,464.46
  4. Step 4: Simplify right side
    9,704.59x = 50,442,399.02
  5. Step 5: Solve for x
    x = 50,442,399.02/9,704.59
  6. Step 6: Final answer
    x = 5,197.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.